Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
408 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20295742 | C2 | semidirect |
| 2. #20295698 | C2 | semidirect |
| 3. #20295374 | C2 | semidirect |
| 4. #20295353 | C2 | semidirect |
| 5. #20295263 | C2 | semidirect |
| 6. #20295222 | C2 | semidirect |
| 7. #20295174 | C2 | semidirect |
| 8. C4×#13182016 | C2 | semidirect |
| 9. #20295091 | C2 | semidirect |
| 10. #20295021 | C2 | semidirect |
| 11. #477×C109 | C2 | semidirect |
| 133. C109 | #3305 | semidirect |
| 138. #477 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295742 | 2 |
| #20295698 | 2 |
| #20295374 | 2 |
| #20295353 | 2 |
| #20295263 | 2 |
| #20295222 | 2 |
| #20295174 | 2 |
| C4×#13182016 | 2 |
| #20295091 | 2 |
| #20295021 | 2 |
| #477×C109 | 2 |
| #3305 | 109 |